TSTP Solution File: KRS158+1 by Leo-III-SAT---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : KRS158+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 7 10:38:28 EDT 2024
% Result : Theorem 21.15s 4.34s
% Output : Refutation 21.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 38
% Syntax : Number of formulae : 163 ( 29 unt; 22 typ; 0 def)
% Number of atoms : 666 ( 10 equ; 0 cnn)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 1497 ( 386 ~; 383 |; 86 &; 606 @)
% ( 8 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 15 ( 15 >; 0 *; 0 +; 0 <<)
% Number of symbols : 25 ( 22 usr; 9 con; 0-2 aty)
% Number of variables : 61 ( 0 ^ 59 !; 2 ?; 61 :)
% Comments :
%------------------------------------------------------------------------------
thf(cowlThing_type,type,
cowlThing: $i > $o ).
thf(cowlNothing_type,type,
cowlNothing: $i > $o ).
thf(xsd_string_type,type,
xsd_string: $i > $o ).
thf(xsd_integer_type,type,
xsd_integer: $i > $o ).
thf(cC18_type,type,
cC18: $i > $o ).
thf(iV16560_type,type,
iV16560: $i ).
thf(cC14_type,type,
cC14: $i > $o ).
thf(cC8_type,type,
cC8: $i > $o ).
thf(cC16_type,type,
cC16: $i > $o ).
thf(cC6_type,type,
cC6: $i > $o ).
thf(iV16561_type,type,
iV16561: $i ).
thf(cC12_type,type,
cC12: $i > $o ).
thf(iV16562_type,type,
iV16562: $i ).
thf(cC10xcomp_type,type,
cC10xcomp: $i > $o ).
thf(cC2xcomp_type,type,
cC2xcomp: $i > $o ).
thf(cC4xcomp_type,type,
cC4xcomp: $i > $o ).
thf(cTEST_type,type,
cTEST: $i > $o ).
thf(cTOP_type,type,
cTOP: $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(sk3_type,type,
sk3: $i ).
thf(sk4_type,type,
sk4: $i ).
thf(1,conjecture,
( ! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) )
& ! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) )
& ( cC18 @ iV16560 )
& ( cC14 @ iV16560 )
& ( cC8 @ iV16560 )
& ( cC16 @ iV16560 )
& ( cowlThing @ iV16560 )
& ( cC6 @ iV16561 )
& ( cowlThing @ iV16561 )
& ( cC12 @ iV16562 )
& ( cowlThing @ iV16562 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
thf(2,negated_conjecture,
~ ( ! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) )
& ! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) )
& ( cC18 @ iV16560 )
& ( cC14 @ iV16560 )
& ( cC8 @ iV16560 )
& ( cC16 @ iV16560 )
& ( cowlThing @ iV16560 )
& ( cC6 @ iV16561 )
& ( cowlThing @ iV16561 )
& ( cC12 @ iV16562 )
& ( cowlThing @ iV16562 ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(33,plain,
~ ( ! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) )
& ! [A: $i] :
( ( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) ) )
& ( cC18 @ iV16560 )
& ( cC14 @ iV16560 )
& ( cC8 @ iV16560 )
& ( cC16 @ iV16560 )
& ( cowlThing @ iV16560 )
& ( cC6 @ iV16561 )
& ( cowlThing @ iV16561 )
& ( cC12 @ iV16562 )
& ( cowlThing @ iV16562 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(34,plain,
~ ( ! [A: $i] : ( cowlThing @ A )
& ~ ? [A: $i] : ( cowlNothing @ A )
& ! [A: $i] :
( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ! [A: $i] :
( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) )
& ( cC18 @ iV16560 )
& ( cC14 @ iV16560 )
& ( cC8 @ iV16560 )
& ( cC16 @ iV16560 )
& ( cowlThing @ iV16560 )
& ( cC6 @ iV16561 )
& ( cowlThing @ iV16561 )
& ( cC12 @ iV16562 )
& ( cowlThing @ iV16562 ) ),
inference(miniscope,[status(thm)],[33]) ).
thf(38,plain,
( ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC18 @ iV16560 )
| ~ ( cC14 @ iV16560 )
| ~ ( cC8 @ iV16560 )
| ~ ( cC16 @ iV16560 )
| ~ ( cowlThing @ iV16560 )
| ~ ( cC6 @ iV16561 )
| ~ ( cowlThing @ iV16561 )
| ~ ( cC12 @ iV16562 )
| ~ ( cowlThing @ iV16562 ) ),
inference(cnf,[status(esa)],[34]) ).
thf(30,axiom,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
thf(136,plain,
! [A: $i] :
( ( cowlThing @ A )
& ~ ( cowlNothing @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(137,plain,
( ! [A: $i] : ( cowlThing @ A )
& ~ ? [A: $i] : ( cowlNothing @ A ) ),
inference(miniscope,[status(thm)],[136]) ).
thf(139,plain,
! [A: $i] : ( cowlThing @ A ),
inference(cnf,[status(esa)],[137]) ).
thf(138,plain,
! [A: $i] :
~ ( cowlNothing @ A ),
inference(cnf,[status(esa)],[137]) ).
thf(140,plain,
! [A: $i] :
~ ( cowlNothing @ A ),
inference(simp,[status(thm)],[138]) ).
thf(216,plain,
( ~ $true
| $false
| ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC18 @ iV16560 )
| ~ ( cC14 @ iV16560 )
| ~ ( cC8 @ iV16560 )
| ~ ( cC16 @ iV16560 )
| ~ $true
| ~ ( cC6 @ iV16561 )
| ~ $true
| ~ ( cC12 @ iV16562 )
| ~ $true ),
inference(rewrite,[status(thm)],[38,139,140]) ).
thf(217,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC18 @ iV16560 )
| ~ ( cC14 @ iV16560 )
| ~ ( cC8 @ iV16560 )
| ~ ( cC16 @ iV16560 )
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(simp,[status(thm)],[216]) ).
thf(29,axiom,
cTEST @ iV16560,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
thf(135,plain,
cTEST @ iV16560,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(13,axiom,
! [A: $i] :
( ( cTEST @ A )
<=> ( ( cTOP @ A )
& ( cC18 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
thf(88,plain,
! [A: $i] :
( ( ( cTEST @ A )
=> ( ( cTOP @ A )
& ( cC18 @ A ) ) )
& ( ( ( cTOP @ A )
& ( cC18 @ A ) )
=> ( cTEST @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(89,plain,
( ! [A: $i] :
( ( cTEST @ A )
=> ( ( cTOP @ A )
& ( cC18 @ A ) ) )
& ! [A: $i] :
( ( ( cTOP @ A )
& ( cC18 @ A ) )
=> ( cTEST @ A ) ) ),
inference(miniscope,[status(thm)],[88]) ).
thf(92,plain,
! [A: $i] :
( ~ ( cTEST @ A )
| ( cC18 @ A ) ),
inference(cnf,[status(esa)],[89]) ).
thf(220,plain,
! [A: $i] :
( ( cC18 @ A )
| ( ( cTEST @ iV16560 )
!= ( cTEST @ A ) ) ),
inference(paramod_ordered,[status(thm)],[135,92]) ).
thf(221,plain,
cC18 @ iV16560,
inference(pattern_uni,[status(thm)],[220:[bind(A,$thf( iV16560 ))]]) ).
thf(222,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ $true
| ~ ( cC14 @ iV16560 )
| ~ ( cC8 @ iV16560 )
| ~ ( cC16 @ iV16560 )
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(rewrite,[status(thm)],[217,221]) ).
thf(223,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC14 @ iV16560 )
| ~ ( cC8 @ iV16560 )
| ~ ( cC16 @ iV16560 )
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(simp,[status(thm)],[222]) ).
thf(16,axiom,
! [A: $i] :
( ( cC18 @ A )
<=> ( ( cTOP @ A )
& ( cC16 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
thf(102,plain,
! [A: $i] :
( ( ( cC18 @ A )
=> ( ( cTOP @ A )
& ( cC16 @ A ) ) )
& ( ( ( cTOP @ A )
& ( cC16 @ A ) )
=> ( cC18 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(103,plain,
( ! [A: $i] :
( ( cC18 @ A )
=> ( ( cTOP @ A )
& ( cC16 @ A ) ) )
& ! [A: $i] :
( ( ( cTOP @ A )
& ( cC16 @ A ) )
=> ( cC18 @ A ) ) ),
inference(miniscope,[status(thm)],[102]) ).
thf(106,plain,
! [A: $i] :
( ~ ( cC18 @ A )
| ( cC16 @ A ) ),
inference(cnf,[status(esa)],[103]) ).
thf(250,plain,
! [A: $i] :
( ( cC16 @ A )
| ( ( cC18 @ iV16560 )
!= ( cC18 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[221,106]) ).
thf(251,plain,
cC16 @ iV16560,
inference(pattern_uni,[status(thm)],[250:[bind(A,$thf( iV16560 ))]]) ).
thf(260,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC14 @ iV16560 )
| ~ ( cC8 @ iV16560 )
| ~ $true
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(rewrite,[status(thm)],[223,251]) ).
thf(261,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC14 @ iV16560 )
| ~ ( cC8 @ iV16560 )
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(simp,[status(thm)],[260]) ).
thf(32,axiom,
! [A: $i] :
( ( cC16 @ A )
<=> ( ( cC14 @ A )
& ( cC8 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
thf(142,plain,
! [A: $i] :
( ( ( cC16 @ A )
=> ( ( cC14 @ A )
& ( cC8 @ A ) ) )
& ( ( ( cC14 @ A )
& ( cC8 @ A ) )
=> ( cC16 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(143,plain,
( ! [A: $i] :
( ( cC16 @ A )
=> ( ( cC14 @ A )
& ( cC8 @ A ) ) )
& ! [A: $i] :
( ( ( cC14 @ A )
& ( cC8 @ A ) )
=> ( cC16 @ A ) ) ),
inference(miniscope,[status(thm)],[142]) ).
thf(145,plain,
! [A: $i] :
( ~ ( cC16 @ A )
| ( cC14 @ A ) ),
inference(cnf,[status(esa)],[143]) ).
thf(277,plain,
! [A: $i] :
( ( cC14 @ A )
| ( ( cC16 @ iV16560 )
!= ( cC16 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[251,145]) ).
thf(278,plain,
cC14 @ iV16560,
inference(pattern_uni,[status(thm)],[277:[bind(A,$thf( iV16560 ))]]) ).
thf(279,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ $true
| ~ ( cC8 @ iV16560 )
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(rewrite,[status(thm)],[261,278]) ).
thf(280,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC8 @ iV16560 )
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(simp,[status(thm)],[279]) ).
thf(146,plain,
! [A: $i] :
( ~ ( cC16 @ A )
| ( cC8 @ A ) ),
inference(cnf,[status(esa)],[143]) ).
thf(308,plain,
! [A: $i] :
( ( cC8 @ A )
| ( ( cC16 @ iV16560 )
!= ( cC16 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[251,146]) ).
thf(309,plain,
cC8 @ iV16560,
inference(pattern_uni,[status(thm)],[308:[bind(A,$thf( iV16560 ))]]) ).
thf(312,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ $true
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(rewrite,[status(thm)],[280,309]) ).
thf(313,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(simp,[status(thm)],[312]) ).
thf(26,axiom,
cC4xcomp @ iV16561,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
thf(128,plain,
cC4xcomp @ iV16561,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(12,axiom,
! [A: $i] :
( ( cC6 @ A )
<=> ( ( cC4xcomp @ A )
& ( cC2xcomp @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
thf(82,plain,
! [A: $i] :
( ( ( cC6 @ A )
=> ( ( cC4xcomp @ A )
& ( cC2xcomp @ A ) ) )
& ( ( ( cC4xcomp @ A )
& ( cC2xcomp @ A ) )
=> ( cC6 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(83,plain,
( ! [A: $i] :
( ( cC6 @ A )
=> ( ( cC4xcomp @ A )
& ( cC2xcomp @ A ) ) )
& ! [A: $i] :
( ( ( cC4xcomp @ A )
& ( cC2xcomp @ A ) )
=> ( cC6 @ A ) ) ),
inference(miniscope,[status(thm)],[82]) ).
thf(84,plain,
! [A: $i] :
( ~ ( cC4xcomp @ A )
| ~ ( cC2xcomp @ A )
| ( cC6 @ A ) ),
inference(cnf,[status(esa)],[83]) ).
thf(87,plain,
! [A: $i] :
( ~ ( cC4xcomp @ A )
| ~ ( cC2xcomp @ A )
| ( cC6 @ A ) ),
inference(simp,[status(thm)],[84]) ).
thf(597,plain,
! [A: $i] :
( ~ ( cC2xcomp @ A )
| ( cC6 @ A )
| ( ( cC4xcomp @ iV16561 )
!= ( cC4xcomp @ A ) ) ),
inference(paramod_ordered,[status(thm)],[128,87]) ).
thf(598,plain,
( ~ ( cC2xcomp @ iV16561 )
| ( cC6 @ iV16561 ) ),
inference(pattern_uni,[status(thm)],[597:[bind(A,$thf( iV16561 ))]]) ).
thf(17,axiom,
cC2xcomp @ iV16561,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
thf(108,plain,
cC2xcomp @ iV16561,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(673,plain,
( ~ $true
| ( cC6 @ iV16561 ) ),
inference(rewrite,[status(thm)],[598,108]) ).
thf(674,plain,
cC6 @ iV16561,
inference(simp,[status(thm)],[673]) ).
thf(679,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ $true
| ~ ( cC12 @ iV16562 ) ),
inference(rewrite,[status(thm)],[313,674]) ).
thf(680,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC12 @ iV16562 ) ),
inference(simp,[status(thm)],[679]) ).
thf(22,axiom,
cC10xcomp @ iV16562,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
thf(118,plain,
cC10xcomp @ iV16562,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(24,axiom,
! [A: $i] :
( ( cC12 @ A )
<=> ( ( cC10xcomp @ A )
& ( cC2xcomp @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
thf(120,plain,
! [A: $i] :
( ( ( cC12 @ A )
=> ( ( cC10xcomp @ A )
& ( cC2xcomp @ A ) ) )
& ( ( ( cC10xcomp @ A )
& ( cC2xcomp @ A ) )
=> ( cC12 @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(121,plain,
( ! [A: $i] :
( ( cC12 @ A )
=> ( ( cC10xcomp @ A )
& ( cC2xcomp @ A ) ) )
& ! [A: $i] :
( ( ( cC10xcomp @ A )
& ( cC2xcomp @ A ) )
=> ( cC12 @ A ) ) ),
inference(miniscope,[status(thm)],[120]) ).
thf(122,plain,
! [A: $i] :
( ~ ( cC10xcomp @ A )
| ~ ( cC2xcomp @ A )
| ( cC12 @ A ) ),
inference(cnf,[status(esa)],[121]) ).
thf(125,plain,
! [A: $i] :
( ~ ( cC10xcomp @ A )
| ~ ( cC2xcomp @ A )
| ( cC12 @ A ) ),
inference(simp,[status(thm)],[122]) ).
thf(1160,plain,
! [A: $i] :
( ~ ( cC2xcomp @ A )
| ( cC12 @ A )
| ( ( cC10xcomp @ iV16562 )
!= ( cC10xcomp @ A ) ) ),
inference(paramod_ordered,[status(thm)],[118,125]) ).
thf(1161,plain,
( ~ ( cC2xcomp @ iV16562 )
| ( cC12 @ iV16562 ) ),
inference(pattern_uni,[status(thm)],[1160:[bind(A,$thf( iV16562 ))]]) ).
thf(23,axiom,
cC2xcomp @ iV16562,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).
thf(119,plain,
cC2xcomp @ iV16562,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(1250,plain,
( ~ $true
| ( cC12 @ iV16562 ) ),
inference(rewrite,[status(thm)],[1161,119]) ).
thf(1251,plain,
cC12 @ iV16562,
inference(simp,[status(thm)],[1250]) ).
thf(1258,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ $true ),
inference(rewrite,[status(thm)],[680,1251]) ).
thf(1259,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_string @ sk4 ) ),
inference(simp,[status(thm)],[1258]) ).
thf(28,axiom,
! [A: $i] :
( ( xsd_string @ A )
<=> ~ ( xsd_integer @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
thf(130,plain,
! [A: $i] :
( ( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(131,plain,
( ! [A: $i] :
( ( xsd_string @ A )
=> ~ ( xsd_integer @ A ) )
& ! [A: $i] :
( ~ ( xsd_integer @ A )
=> ( xsd_string @ A ) ) ),
inference(miniscope,[status(thm)],[130]) ).
thf(132,plain,
! [A: $i] :
( ( xsd_integer @ A )
| ( xsd_string @ A ) ),
inference(cnf,[status(esa)],[131]) ).
thf(134,plain,
! [A: $i] :
( ( xsd_integer @ A )
| ( xsd_string @ A ) ),
inference(simp,[status(thm)],[132]) ).
thf(37,plain,
( ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC18 @ iV16560 )
| ~ ( cC14 @ iV16560 )
| ~ ( cC8 @ iV16560 )
| ~ ( cC16 @ iV16560 )
| ~ ( cowlThing @ iV16560 )
| ~ ( cC6 @ iV16561 )
| ~ ( cowlThing @ iV16561 )
| ~ ( cC12 @ iV16562 )
| ~ ( cowlThing @ iV16562 ) ),
inference(cnf,[status(esa)],[34]) ).
thf(11,axiom,
cowlThing @ iV16562,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).
thf(81,plain,
cowlThing @ iV16562,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(27,axiom,
cowlThing @ iV16560,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
thf(129,plain,
cowlThing @ iV16560,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(18,axiom,
cowlThing @ iV16561,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
thf(109,plain,
cowlThing @ iV16561,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(187,plain,
( ~ ( cowlThing @ sk1 )
| $false
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC18 @ iV16560 )
| ~ ( cC14 @ iV16560 )
| ~ ( cC8 @ iV16560 )
| ~ ( cC16 @ iV16560 )
| ~ $true
| ~ ( cC6 @ iV16561 )
| ~ $true
| ~ ( cC12 @ iV16562 )
| ~ $true ),
inference(rewrite,[status(thm)],[37,81,129,140,109]) ).
thf(188,plain,
( ~ ( cowlThing @ sk1 )
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC18 @ iV16560 )
| ~ ( cC14 @ iV16560 )
| ~ ( cC8 @ iV16560 )
| ~ ( cC16 @ iV16560 )
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(simp,[status(thm)],[187]) ).
thf(197,plain,
( ~ $true
| ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC18 @ iV16560 )
| ~ ( cC14 @ iV16560 )
| ~ ( cC8 @ iV16560 )
| ~ ( cC16 @ iV16560 )
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(rewrite,[status(thm)],[188,139]) ).
thf(198,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC18 @ iV16560 )
| ~ ( cC14 @ iV16560 )
| ~ ( cC8 @ iV16560 )
| ~ ( cC16 @ iV16560 )
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(simp,[status(thm)],[197]) ).
thf(224,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ $true
| ~ ( cC14 @ iV16560 )
| ~ ( cC8 @ iV16560 )
| ~ ( cC16 @ iV16560 )
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(rewrite,[status(thm)],[198,221]) ).
thf(225,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC14 @ iV16560 )
| ~ ( cC8 @ iV16560 )
| ~ ( cC16 @ iV16560 )
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(simp,[status(thm)],[224]) ).
thf(256,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC14 @ iV16560 )
| ~ ( cC8 @ iV16560 )
| ~ $true
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(rewrite,[status(thm)],[225,251]) ).
thf(257,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC14 @ iV16560 )
| ~ ( cC8 @ iV16560 )
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(simp,[status(thm)],[256]) ).
thf(281,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ $true
| ~ ( cC8 @ iV16560 )
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(rewrite,[status(thm)],[257,278]) ).
thf(282,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC8 @ iV16560 )
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(simp,[status(thm)],[281]) ).
thf(310,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ $true
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(rewrite,[status(thm)],[282,309]) ).
thf(311,plain,
( ( xsd_integer @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(simp,[status(thm)],[310]) ).
thf(325,plain,
! [A: $i] :
( ( xsd_string @ A )
| ( xsd_integer @ sk3 )
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 )
| ( ( xsd_integer @ A )
!= ( xsd_integer @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[134,311]) ).
thf(326,plain,
( ( xsd_string @ sk4 )
| ( xsd_integer @ sk3 )
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(pattern_uni,[status(thm)],[325:[bind(A,$thf( sk4 ))]]) ).
thf(683,plain,
( ( xsd_string @ sk4 )
| ( xsd_integer @ sk3 )
| ~ $true
| ~ ( cC12 @ iV16562 ) ),
inference(rewrite,[status(thm)],[326,674]) ).
thf(684,plain,
( ( xsd_string @ sk4 )
| ( xsd_integer @ sk3 )
| ~ ( cC12 @ iV16562 ) ),
inference(simp,[status(thm)],[683]) ).
thf(1260,plain,
( ( xsd_string @ sk4 )
| ( xsd_integer @ sk3 )
| ~ $true ),
inference(rewrite,[status(thm)],[684,1251]) ).
thf(1261,plain,
( ( xsd_string @ sk4 )
| ( xsd_integer @ sk3 ) ),
inference(simp,[status(thm)],[1260]) ).
thf(35,plain,
( ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC18 @ iV16560 )
| ~ ( cC14 @ iV16560 )
| ~ ( cC8 @ iV16560 )
| ~ ( cC16 @ iV16560 )
| ~ ( cowlThing @ iV16560 )
| ~ ( cC6 @ iV16561 )
| ~ ( cowlThing @ iV16561 )
| ~ ( cC12 @ iV16562 )
| ~ ( cowlThing @ iV16562 ) ),
inference(cnf,[status(esa)],[34]) ).
thf(148,plain,
( ~ ( cowlThing @ sk1 )
| $false
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC18 @ iV16560 )
| ~ ( cC14 @ iV16560 )
| ~ ( cC8 @ iV16560 )
| ~ ( cC16 @ iV16560 )
| ~ ( cowlThing @ iV16560 )
| ~ ( cC6 @ iV16561 )
| ~ $true
| ~ ( cC12 @ iV16562 )
| ~ $true ),
inference(rewrite,[status(thm)],[35,81,140,109]) ).
thf(149,plain,
( ~ ( cowlThing @ sk1 )
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC18 @ iV16560 )
| ~ ( cC14 @ iV16560 )
| ~ ( cC8 @ iV16560 )
| ~ ( cC16 @ iV16560 )
| ~ ( cowlThing @ iV16560 )
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(simp,[status(thm)],[148]) ).
thf(172,plain,
( ~ ( cowlThing @ sk1 )
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC18 @ iV16560 )
| ~ ( cC14 @ iV16560 )
| ~ ( cC8 @ iV16560 )
| ~ ( cC16 @ iV16560 )
| ~ $true
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(rewrite,[status(thm)],[149,129]) ).
thf(173,plain,
( ~ ( cowlThing @ sk1 )
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC18 @ iV16560 )
| ~ ( cC14 @ iV16560 )
| ~ ( cC8 @ iV16560 )
| ~ ( cC16 @ iV16560 )
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(simp,[status(thm)],[172]) ).
thf(199,plain,
( ~ $true
| ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC18 @ iV16560 )
| ~ ( cC14 @ iV16560 )
| ~ ( cC8 @ iV16560 )
| ~ ( cC16 @ iV16560 )
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(rewrite,[status(thm)],[173,139]) ).
thf(200,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC18 @ iV16560 )
| ~ ( cC14 @ iV16560 )
| ~ ( cC8 @ iV16560 )
| ~ ( cC16 @ iV16560 )
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(simp,[status(thm)],[199]) ).
thf(226,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ $true
| ~ ( cC14 @ iV16560 )
| ~ ( cC8 @ iV16560 )
| ~ ( cC16 @ iV16560 )
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(rewrite,[status(thm)],[200,221]) ).
thf(227,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC14 @ iV16560 )
| ~ ( cC8 @ iV16560 )
| ~ ( cC16 @ iV16560 )
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(simp,[status(thm)],[226]) ).
thf(417,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ $true
| ~ $true
| ~ $true
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(rewrite,[status(thm)],[227,309,278,251]) ).
thf(418,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_integer @ sk4 )
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(simp,[status(thm)],[417]) ).
thf(419,plain,
! [A: $i] :
( ( xsd_string @ A )
| ( xsd_string @ sk3 )
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 )
| ( ( xsd_integer @ A )
!= ( xsd_integer @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[134,418]) ).
thf(420,plain,
( ( xsd_string @ sk4 )
| ( xsd_string @ sk3 )
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(pattern_uni,[status(thm)],[419:[bind(A,$thf( sk4 ))]]) ).
thf(675,plain,
( ( xsd_string @ sk4 )
| ( xsd_string @ sk3 )
| ~ $true
| ~ ( cC12 @ iV16562 ) ),
inference(rewrite,[status(thm)],[420,674]) ).
thf(676,plain,
( ( xsd_string @ sk4 )
| ( xsd_string @ sk3 )
| ~ ( cC12 @ iV16562 ) ),
inference(simp,[status(thm)],[675]) ).
thf(1262,plain,
( ( xsd_string @ sk4 )
| ( xsd_string @ sk3 )
| ~ $true ),
inference(rewrite,[status(thm)],[676,1251]) ).
thf(1263,plain,
( ( xsd_string @ sk4 )
| ( xsd_string @ sk3 ) ),
inference(simp,[status(thm)],[1262]) ).
thf(36,plain,
( ~ ( cowlThing @ sk1 )
| ( cowlNothing @ sk2 )
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC18 @ iV16560 )
| ~ ( cC14 @ iV16560 )
| ~ ( cC8 @ iV16560 )
| ~ ( cC16 @ iV16560 )
| ~ ( cowlThing @ iV16560 )
| ~ ( cC6 @ iV16561 )
| ~ ( cowlThing @ iV16561 )
| ~ ( cC12 @ iV16562 )
| ~ ( cowlThing @ iV16562 ) ),
inference(cnf,[status(esa)],[34]) ).
thf(162,plain,
( ~ ( cowlThing @ sk1 )
| $false
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC18 @ iV16560 )
| ~ ( cC14 @ iV16560 )
| ~ ( cC8 @ iV16560 )
| ~ ( cC16 @ iV16560 )
| ~ ( cowlThing @ iV16560 )
| ~ ( cC6 @ iV16561 )
| ~ $true
| ~ ( cC12 @ iV16562 )
| ~ $true ),
inference(rewrite,[status(thm)],[36,81,140,109]) ).
thf(163,plain,
( ~ ( cowlThing @ sk1 )
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC18 @ iV16560 )
| ~ ( cC14 @ iV16560 )
| ~ ( cC8 @ iV16560 )
| ~ ( cC16 @ iV16560 )
| ~ ( cowlThing @ iV16560 )
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(simp,[status(thm)],[162]) ).
thf(176,plain,
( ~ ( cowlThing @ sk1 )
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC18 @ iV16560 )
| ~ ( cC14 @ iV16560 )
| ~ ( cC8 @ iV16560 )
| ~ ( cC16 @ iV16560 )
| ~ $true
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(rewrite,[status(thm)],[163,129]) ).
thf(177,plain,
( ~ ( cowlThing @ sk1 )
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC18 @ iV16560 )
| ~ ( cC14 @ iV16560 )
| ~ ( cC8 @ iV16560 )
| ~ ( cC16 @ iV16560 )
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(simp,[status(thm)],[176]) ).
thf(658,plain,
( ~ $true
| ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ $true
| ~ $true
| ~ $true
| ~ $true
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(rewrite,[status(thm)],[177,309,278,139,251,221]) ).
thf(659,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC6 @ iV16561 )
| ~ ( cC12 @ iV16562 ) ),
inference(simp,[status(thm)],[658]) ).
thf(685,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ $true
| ~ ( cC12 @ iV16562 ) ),
inference(rewrite,[status(thm)],[659,674]) ).
thf(686,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ ( cC12 @ iV16562 ) ),
inference(simp,[status(thm)],[685]) ).
thf(1256,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 )
| ~ $true ),
inference(rewrite,[status(thm)],[686,1251]) ).
thf(1257,plain,
( ( xsd_string @ sk3 )
| ~ ( xsd_string @ sk4 ) ),
inference(simp,[status(thm)],[1256]) ).
thf(1345,plain,
( ( xsd_string @ sk3 )
| ( ( xsd_string @ sk4 )
!= ( xsd_string @ sk4 ) ) ),
inference(paramod_ordered,[status(thm)],[1263,1257]) ).
thf(1346,plain,
xsd_string @ sk3,
inference(pattern_uni,[status(thm)],[1345:[]]) ).
thf(133,plain,
! [A: $i] :
( ~ ( xsd_string @ A )
| ~ ( xsd_integer @ A ) ),
inference(cnf,[status(esa)],[131]) ).
thf(1348,plain,
! [A: $i] :
( ~ ( xsd_integer @ A )
| ( ( xsd_string @ sk3 )
!= ( xsd_string @ A ) ) ),
inference(paramod_ordered,[status(thm)],[1346,133]) ).
thf(1349,plain,
~ ( xsd_integer @ sk3 ),
inference(pattern_uni,[status(thm)],[1348:[bind(A,$thf( sk3 ))]]) ).
thf(1361,plain,
( ( xsd_string @ sk4 )
| $false ),
inference(rewrite,[status(thm)],[1261,1349]) ).
thf(1362,plain,
xsd_string @ sk4,
inference(simp,[status(thm)],[1361]) ).
thf(1374,plain,
( $false
| ~ $true ),
inference(rewrite,[status(thm)],[1259,1362,1349]) ).
thf(1375,plain,
$false,
inference(simp,[status(thm)],[1374]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS158+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n027.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon May 6 22:55:39 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.87/0.83 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.26/0.96 % [INFO] Parsing done (126ms).
% 1.26/0.97 % [INFO] Running in sequential loop mode.
% 1.73/1.18 % [INFO] nitpick registered as external prover.
% 1.73/1.18 % [INFO] Scanning for conjecture ...
% 1.90/1.25 % [INFO] Found a conjecture and 30 axioms. Running axiom selection ...
% 1.90/1.29 % [INFO] Axiom selection finished. Selected 30 axioms (removed 0 axioms).
% 2.12/1.32 % [INFO] Problem is first-order (TPTP FOF).
% 2.12/1.32 % [INFO] Type checking passed.
% 2.12/1.32 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 21.15/4.33 % [INFO] Killing All external provers ...
% 21.15/4.33 % Time passed: 3798ms (effective reasoning time: 3360ms)
% 21.15/4.33 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 21.15/4.34 % Axioms used in derivation (15): axiom_22, axiom_16, axiom_24, axiom_1, axiom_28, axiom_8, axiom_17, axiom_5, axiom_25, axiom_0, axiom_29, axiom_18, axiom_14, axiom_7, axiom_26
% 21.15/4.34 % No. of inferences in proof: 141
% 21.15/4.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3798 ms resp. 3360 ms w/o parsing
% 21.15/4.46 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 21.15/4.46 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------